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- W2073996845 abstract "LetK be an algebraic number field of finite degree andf(X,T) a polynomial overK. For eachφ(X)∈Z[X], we denote byE(φ) the set of all integersa with φ m (a) =φ n (a) for somem≠n. In this paper, we give a condition for a polynomialφ(X)∈Z[X] to satisfy the following; If forn∈N, there existr∈K anda∈Z−E(φ) such thatf r, φ m (a)=0, then there exists a rational functiong(X) overK andk∈N such thatf(g(T)), φ k (T))=0 ." @default.
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- W2073996845 date "1990-12-01" @default.
- W2073996845 modified "2023-09-27" @default.
- W2073996845 title "Nonstandard arithmetic of iterated polynomials" @default.
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- W2073996845 doi "https://doi.org/10.1007/bf02568493" @default.
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